(n-3)*6=(2n)*14

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Solution for (n-3)*6=(2n)*14 equation:


Simplifying
(n + -3) * 6 = (2n) * 14

Reorder the terms:
(-3 + n) * 6 = (2n) * 14

Reorder the terms for easier multiplication:
6(-3 + n) = (2n) * 14
(-3 * 6 + n * 6) = (2n) * 14
(-18 + 6n) = (2n) * 14

Remove parenthesis around (2n)
-18 + 6n = 2n * 14

Reorder the terms for easier multiplication:
-18 + 6n = 2 * 14n

Multiply 2 * 14
-18 + 6n = 28n

Solving
-18 + 6n = 28n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-28n' to each side of the equation.
-18 + 6n + -28n = 28n + -28n

Combine like terms: 6n + -28n = -22n
-18 + -22n = 28n + -28n

Combine like terms: 28n + -28n = 0
-18 + -22n = 0

Add '18' to each side of the equation.
-18 + 18 + -22n = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -22n = 0 + 18
-22n = 0 + 18

Combine like terms: 0 + 18 = 18
-22n = 18

Divide each side by '-22'.
n = -0.8181818182

Simplifying
n = -0.8181818182

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